5 papers
LEGO_HQEC: Automating the Analysis, Construction, and Decoding of Holographic Quantum Codes
Junyu Fan, Matthew Steinberg, Alexander Jahn +3
Quantum error correction (QEC) is a crucial prerequisite for future large-scale quantum computation. Finding and analyzing new QEC codes, along with efficient decoding and fault-to…
Biased-Noise Thresholds of Zero-Rate Holographic Codes with Tensor-Network Decoding
Junyu Fan, Matthew Steinberg, Alexander Jahn +2
A crucial insight for practical quantum error correction is that different types of errors, such as single-qubit Pauli operators, typically occur with different probabilities. Find…
Exponentially Decaying Quantum Simulation Error with Noisy Devices
Jue Xu, Chu Zhao, Junyu Fan +1
Quantum simulation is a promising way toward practical quantum advantage, but noise in current quantum hardware poses a significant obstacle. We prove that not only the physical er…
Far from Perfect: Quantum Error Correction with (Hyperinvariant) Evenbly Codes
Matthew Steinberg, Junyu Fan, Robert J. Harris +3
We introduce a new class of qubit codes that we call Evenbly codes, building on a previous proposal of hyperinvariant tensor networks. Its tensor network description consists of lo…
Universal fault-tolerant logic with heterogeneous holographic codes
Matthew Steinberg, Junyu Fan, Jens Eisert +3
The study of holographic bulk-boundary dualities has led to the construction of novel quantum error correcting codes. Although these codes have shed new light on conceptual aspects…